The mean weight of 15 randomly selected newborn babies at a local hospital is 8 lbs and the standard deviation is 0.8 lbs. Assume the weight of newborn babies has approximately normal distribution. (a) Find the margin of error for the 90% confidence interval for the mean weight of all newborn babies at this hospital. (Round your answer to two decimal places.) 0.34 X (b) Use information from part (a) to fill in the banks in the following sentence: 90 % of all samples of size 15 o have sample means within 0.34 lbs of the population mean. (c) Find a 90% confidence interval for the mean weight of all newborn babies at this hospital. (Round your answer to two decimal places.) 7.66 X lbs << 8.34 (d) Does the confidence interval, at 90% level, provide sufficient evidence that the mean weight of a newborn at this hospital is above 6.3 lbs? Write the appropriate inequality to justify your answer. yes, due to that the lower limit of confidence interval exceeds 6.3 lbs X X lbs Increase in confidence interval increases the width i.e., the interval becomes wider (e) If you increase the confidence level (1 - a), will the confidence interval estimate be wider or narrower? Explain.
The mean weight of 15 randomly selected newborn babies at a local hospital is 8 lbs and the standard deviation is 0.8 lbs. Assume the weight of newborn babies has approximately normal distribution. (a) Find the margin of error for the 90% confidence interval for the mean weight of all newborn babies at this hospital. (Round your answer to two decimal places.) 0.34 X (b) Use information from part (a) to fill in the banks in the following sentence: 90 % of all samples of size 15 o have sample means within 0.34 lbs of the population mean. (c) Find a 90% confidence interval for the mean weight of all newborn babies at this hospital. (Round your answer to two decimal places.) 7.66 X lbs << 8.34 (d) Does the confidence interval, at 90% level, provide sufficient evidence that the mean weight of a newborn at this hospital is above 6.3 lbs? Write the appropriate inequality to justify your answer. yes, due to that the lower limit of confidence interval exceeds 6.3 lbs X X lbs Increase in confidence interval increases the width i.e., the interval becomes wider (e) If you increase the confidence level (1 - a), will the confidence interval estimate be wider or narrower? Explain.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The mean weight of 15 randomly selected newborn babies at a local hospital is 8 lbs and the standard
deviation is 0.8 lbs. Assume the weight of newborn babies has approximately normal distribution.
(a) Find the margin of error for the 90% confidence interval for the mean weight of all newborn babies at this
hospital. (Round your answer to two decimal places.)
0.34
X
(b) Use information from part (a) to fill in the banks in the following sentence: 90
% of all samples of size 15
o have sample means within 0.34
lbs of the population mean.
(c) Find a 90% confidence interval for the mean weight of all newborn babies at this hospital. (Round your
answer to two decimal places.)
7.66
X lbs << 8.34
(d) Does the confidence interval, at 90% level, provide sufficient evidence that the mean weight of a newborn
at this hospital is above 6.3 lbs? Write the appropriate inequality to justify your answer.
yes, due to that the lower limit of confidence interval exceeds 6.3 lbs
X
X lbs
Increase in confidence interval increases the width i.e., the interval
becomes wider
(e) If you increase the confidence level (1 - a), will the confidence interval estimate be wider or narrower?
Explain.
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